Waiting time distributions for clusters of complex molecules

Thul, Ruediger; Falcke, Martin

Abstract

Waiting time distributions are in the core of theories for a large variety of subjects ranging from the analysis of patch clamp records to stochastic excitable systems. Here, we present a novel exact method for the calculation of waiting time distributions for state transitions of complex molecules with independent subunit dynamics. The absorbing state is a specific set of subunit states, i.e. is defined on the molecule level. Consequently, we formulate the problem as a random walk in the molecule state space. The subunits can possess an arbitrary number of states and any topology of transitions between them. The method circumvents problems arising from combinatorial explosion due to subunit coupling and requires solutions of the subunit master equation only.

Citation

Thul, R., & Falcke, M. (2007). Waiting time distributions for clusters of complex molecules. EPL, 79(3), https://doi.org/10.1209/0295-5075/79/38003

• Journal Article Type: Article
• Acceptance Date: Jun 19, 2007
• Publication Date: Jul 17, 2007
• Deposit Date: May 24, 2016
• Publicly Available Date: May 24, 2016
• Journal: Europhysics Letters
• Print ISSN: 0295-5075
• Electronic ISSN: 1286-4854
• Publisher: EPL Association
• Peer Reviewed: Peer Reviewed
• Volume: 79
• Issue: 3
• DOI: https://doi.org/10.1209/0295-5075/79/38003
• Public URL: https://nottingham-repository.worktribe.com/output/704192
• Publisher URL: http://iopscience.iop.org/article/10.1209/0295-5075/79/38003/meta;jsessionid=6AD86044426A1003892CF8332D79079D.c2.iopscience.cld.iop.org